Free Spectra of Linear Equivalential Algebras

Journal of Symbolic Logic 70 (4):1341 - 1358 (2005)
We construct the finitely generated free algebras and determine the free spectra of varieties of linear equivalential algebras and linear equivalential algebras of finite height corresponding. respectively, to the equivalential fragments of intermediate Gödel-Dummett logic and intermediate finite-valued logics of Gödel. Thus we compute the number of purely equivalential propositional formulas in these logics in n variables for an arbitrary n ∈ N.
Keywords Gödel-Dummett logic   intuitionistic equivalence   free algebras   free spectra   equivalential algebras
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DOI 10.2178/jsl/1129642128
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References found in this work BETA
J. Czelakowski & D. Pigozzi (2004). Fregean Logics. Annals of Pure and Applied Logic 127 (1-3):17-76.
Ivo Thomas (1962). Finite Limitations on Dummet's LC. Notre Dame Journal of Formal Logic 3 (3):170-174.
Robert E. Tax (1973). On the Intuitionistic Equivalential Calculus. Notre Dame Journal of Formal Logic 14 (4):448-456.

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